Titlebook: Control Theory from the Geometric Viewpoint; Andrei A. Agrachev,Yuri L. Sachkov Book 2004 Springer-Verlag Berlin Heidelberg 2004 Lie brack

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Control Theory from the Geometric Viewpoint978-3-662-06404-7Series ISSN 0938-0396

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,Thesenförmige Zusammenfassung,dea is to replace a nonlinear object, a smooth manifold .,by a linear, although infinite-dimensional one: the commutative algebra of smooth functions on . (for details, see [19], [22]). For basic definitions and facts of functional analysis used in this chapter, one can consult e.g. [144].

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Virtual Reality in der Produktentwicklung to this system. First, choose a basis in tangent spaces ... of the fields ... and their iterated Lie brackets:.we assume that the system is bracket-generating. Then we have special coordinates in the tangent spaces:

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https://doi.org/10.1007/978-3-658-06300-9In this chapter we consider rotations of a . around a fixed point. That is, we study motions of a body in the three-dimensional space such that:.We consider both free motions (in the absence of external forces) and controlled motions (when external forces are applied in order to bring the body to a desired state).

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